457634643508224 has 1584 divisors, whose sum is σ = 1714568042643456. Its totient is φ = 116406794649600.

The previous prime is 457634643508219. The next prime is 457634643508373. The reversal of 457634643508224 is 422805346436754.

457634643508224 is a `hidden beast` number, since 4 + 5 + 7 + 63 + 4 + 6 + 43 + 508 + 2 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55870419969 + ... + 55870428159.

Almost surely, 2^{457634643508224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457634643508224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857284021321728).

457634643508224 is an abundant number, since it is smaller than the sum of its proper divisors (1256933399135232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

457634643508224 is a wasteful number, since it uses less digits than its factorization.

457634643508224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8582 (or 8554 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 63.

The spelling of 457634643508224 in words is "four hundred fifty-seven trillion, six hundred thirty-four billion, six hundred forty-three million, five hundred eight thousand, two hundred twenty-four".